Mathema Class 12 Mathematics
Removed
Syllabus2021-2022
Term - 1
Chapter 1 - Relations and Functions
Composite functions
Inverse of a function (Do it, it is important for
Inverse Trigonometry)
Binary Operations
Exercise 1.3
Exercise 1.4
Miscellaneous Exercise - Q1, Q2, Q3, Q6, Q7, Q14,
Q19
Chapter 2 - Inverse Trigonometric Functions
Graphs
of inverse trigonometric functions (Do it, important for understanding
Inverse Trigogonometric Functions)
Elementary properties of inverse trigonometric
functions
Exercise 2.2 - Q3, Q4, Q12, Q13, Q14, Q15, Q18
Miscellaneous Exercise - Q4-Q8, Q12-Q14, Q16,
Q17
Chapter 3 - Matrices
Existence of non-zero matrices whose product is the
zero matrix Concept of elementary row and column operations
Proof of the uniqueness of inverse, if it
exists.
Exercise 3.4
Chapter 4 - Determinants
Properties of determinants
Consistency, inconsistency and number of solutions
of system of linear equations by examples
Exercise 4.2
Exercise 4.6 - Q1-Q6
Miscellaneous Exercise - Q2, Q11-Q15
Chapter 5 - Continuity and Differentiability
Rolle’s and Lagrange's Mean Value Theorems (without
proof) and their geometric interpretation
Exercise 5.8
Miscellaneous Exercise - Q19
Chapter 6 - Applications of Derivatives
Rate of change of bodies
Use of derivatives in approximation
Exercise 6.1
Exercise 6.4
Miscellaneous Exercise - Q1, Q3, Q19
Chapter 12 - Linear Programming
Mathematical formulation of L.P. problems
Feasible and infeasible regions (unbounded)
Exercise 12.1 - Q4, Q6, Q9
Exercise 12.2
Miscellaneous Exercise
Term
- 2
Chapter 7 - Integrals
∫ √ax2 + bx + c dx ∫(ax + b)√ax2 + bx + c dx
Definite integrals as a limit of a sum
Exercise 7.7 - Q3-Q7
Exercise 7.8
Chapter 8 - Application of Integrals
Area between the curves listed in Integrals
Chapter 9 - Differential Equations
Formation of differential equation whose general
solution is given Solutions of linear differential equation of the type - dx/dy
+px =q, where pand q are functions of y.
Exercise 9.3
Exercise 9.6 - Q11, Q12, Q19
Miscellaneous Exercise - Q3, Q5, Q17
Chapter 10 - Vector Algebra
Scalar Triple Product of vectors
Supplementary
Chapter 11 - Three Dimensional Geometry
Angle between (i) two lines, (ii) two planes, (iii)
a line and a plane
Exercise 11.2 - Q10, Q11
Exercise 11.3 - Q12, Q13
Miscellaneous Exercise - Q3, Q5
Chapter 13 - Probability
Mean and Variance of random variable. Binomial
probability distribution. Exercise 13.4
Exercise 13.5
Miscellaneous Exercise - Q2, Q3
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